If the vectors $(2 \hat{\imath}-q \hat{\jmath}+3 \hat{k})$ and $(4 \hat{\imath}-5 \hat{\jmath}+6 \hat{k})$…

If the vectors $(2 \hat{\imath}-q \hat{\jmath}+3 \hat{k})$ and $(4 \hat{\imath}-5 \hat{\jmath}+6 \hat{k})$ are collinear, then the value of $q$ is
  1. $\frac{5}{2}$
  2. $\frac{-5}{2}$
  3. $\frac{-2}{5}$
  4. $\frac{2}{5}$

Solution

Given vector are collinear $\begin{array}{l} \therefore \frac{2}{4}=\frac{-q}{-5}=\frac{3}{6} \\ \therefore q=\frac{5}{2} \end{array}$

Asked in: MHT CET 2020 (14 Oct Shift 1)

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